Information on Result #713974
Linear OA(799, 371, F7, 35) (dual of [371, 272, 36]-code), using construction XX applied to C1 = C([335,26]), C2 = C([0,28]), C3 = C1 + C2 = C([0,26]), and C∩ = C1 ∩ C2 = C([335,28]) based on
- linear OA(788, 342, F7, 34) (dual of [342, 254, 35]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−7,−6,…,26}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(773, 342, F7, 29) (dual of [342, 269, 30]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(791, 342, F7, 36) (dual of [342, 251, 37]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−7,−6,…,28}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(770, 342, F7, 27) (dual of [342, 272, 28]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,26], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(77, 25, F7, 5) (dual of [25, 18, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- linear OA(71, 4, F7, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [i]
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(799, 185, F7, 2, 35) (dual of [(185, 2), 271, 36]-NRT-code) | [i] | OOA Folding | |